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Equivalences between projective and injective modules and morita duality for artinian rings

 

作者: Riccardo Colpi,  

 

期刊: Communications in Algebra  （Taylor Available online 1993）
卷期: Volume 21, issue 2  

页码: 601-606

 

ISSN:0092-7872

 

年代: 1993

 

DOI:10.1080/00927879308824582

 

出版商: Marcel Dekker, Inc.

 

关键词: Morita duality;Injective modules;Projective modules;Artinian ring;Quasi-Frobenius ring

 

数据来源: Taylor

 

摘要:

Given two ringsAandR, we study the equivalences between all projective rightA-modules and all injective rightR-modules. We prove that such equivalences exist if and only ifAAandRRare Artinian with a Morita duality. This naturally generalizes a well known result on quasi-Frobenius rings.

 

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